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Finding the Fourth Proportional to 1,146.64, 1,581.49 and 773.03

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Solution

The fourth proportional to 1,146.64, 1,581.49 and 773.03 is: 1,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.64 : 1,581.49 = 773.03 : x
  2. Step 2: Convert to fraction form
    1,146.64/1,581.49 = 773.03/x
  3. Step 3: Cross multiply
    1,146.64x = 1,581.49 × 773.03
  4. Step 4: Simplify right side
    1,146.64x = 1,222,539.21
  5. Step 5: Solve for x
    x = 1,222,539.21/1,146.64
  6. Step 6: Final answer
    x = 1,066.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.